Suppose the price of movies seen at a theatre rises form Rs. 120 per p...
Arc elasticity may be expressed as: [(Q1 - Q)/(Q1 + Q)] x [(P1 + P)/(P1 - P)]
Therefore,
[(300 - 200)/(300 + 200)] x [(200 + 120)/(200 - 120)]
= (100/500) x (320/80)
So, Arc elasticity = 4/5 = 0.8
(differences were large hence arc elasticity is used.)
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Suppose the price of movies seen at a theatre rises form Rs. 120 per p...
Solution:
To calculate the price elasticity of demand, we need to use the arc elasticity formula:
Arc Elasticity = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))
Where:
Q1 = Initial quantity demanded
Q2 = Final quantity demanded
P1 = Initial price
P2 = Final price
Given:
Q1 = 300 persons
Q2 = 200 persons
P1 = Rs. 120 per person
P2 = Rs. 200 per person
Calculations:
Using the formula, we can calculate the arc elasticity as follows:
Arc Elasticity = ((200 - 300) / ((200 + 300) / 2)) / ((200 - 120) / ((200 + 120) / 2))
= ((-100) / (500 / 2)) / (80 / (320 / 2))
= ((-100) / 250) / (80 / 160)
= (-0.4) / (0.5)
= -0.8
The arc elasticity of demand for the movie is -0.8.
Interpretation:
Since the price elasticity of demand is negative, we can conclude that the movie is price elastic. This means that a 1% increase in price will result in more than a 1% decrease in quantity demanded.
In this case, the price elasticity of demand is -0.8. This indicates that a 1% increase in price will lead to an 0.8% decrease in quantity demanded. Therefore, the demand for the movie is relatively responsive to changes in price, as a higher price has resulted in a significant decrease in attendance.
Answer:
The price elasticity of demand for the movie is -0.8.
Suppose the price of movies seen at a theatre rises form Rs. 120 per p...
Ed = -(P/Q ×∆Q/∆p). = p1=120, p2=200,. Q 1=300,Q2=200. Ed=-(120/300×100/80). Ed=- (3/3×1/2) = -(3/6) =-0.5 answer is A
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